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Simplifying a + -1(a + 3) = 10 + (a + -1) Reorder the terms: a + -1(3 + a) = 10 + (a + -1) a + (3 * -1 + a * -1) = 10 + (a + -1) a + (-3 + -1a) = 10 + (a + -1) Reorder the terms: -3 + a + -1a = 10 + (a + -1) Combine like terms: a + -1a = 0 -3 + 0 = 10 + (a + -1) -3 = 10 + (a + -1) Reorder the terms: -3 = 10 + (-1 + a) Remove parenthesis around (-1 + a) -3 = 10 + -1 + a Combine like terms: 10 + -1 = 9 -3 = 9 + a Solving -3 = 9 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -3 + -1a = 9 + a + -1a Combine like terms: a + -1a = 0 -3 + -1a = 9 + 0 -3 + -1a = 9 Add '3' to each side of the equation. -3 + 3 + -1a = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -1a = 9 + 3 -1a = 9 + 3 Combine like terms: 9 + 3 = 12 -1a = 12 Divide each side by '-1'. a = -12 Simplifying a = -12
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